[PDF] Top 20 Approximately generalized additive functions in several variables

... The above Theorem has provided a lot of influence during the last three decades in the development of a generalization of the Hyers–Ulam stability concept. This new concept is known as generalized Hyers–Ulam ... See full document

... was generalized by Aoki [1] for approximate additive functions and by Rassias [43] for approximate linear functions by allowing the difference Cauchy equation kf(x + y) − f(x) − f(y)k to be ... See full document

... a generalized finite integral involving the multivariable Aleph-functions,the Fresnel integral function, a class of polynomials of several variables and the spheroidal ...of several ... See full document

... growth have been studied by Srivastava and Susheel Kumar [8 ].It has been noticed that the characterization for approximating entire function 𝑔 in certain Banach spaces by generalized order and type of slow growth ... See full document

... a generalized infinite integral involving the product of the spheroidal function, the multivariable Aleph-functions and general class of polynomials of several variables with general ...of ... See full document

... a generalized infinite integral involving the product of the sequence of functions, the multivariable Aleph-functions and general class of polynomials of several variables with general ... See full document

... convex functions harmonized on time ...convex functions of several variables by using Bernoulli’s in- equality, generalized Jensen’s inequality and Fubini’s theorem on diamond- α ... See full document

... contour integral, see Ayant [2], the generalized hypergeometric function in Mellin-Barnes contour integral with in Mellin-Barnes contour integral with the help of (2.1) and interchange the order of integrations ... See full document

... unique additive mapping satisfying f ( x ) − L ( x ) ≤ ε ...[14] generalized the result to an approximation involving a sum of powers of ...and generalized Hyers result to the following ... See full document

... Gimel- functions defined by Ayant [1], a generalized Lauricella function , a multivariable I-function and multivariable A-function defined by Gautam and Asgar [1] with general arguments ... See full document

... An inquisitive question that was given a serious thought by S.M. Ulam [45] concerning the stability of group homomorphisms gave rise to the stability problem of functional equations. The laborious intellectual strivings ... See full document

... Bakhvalov, Fourier coefficients of Functions from many-dimensional classes of bounded Λ-variation, Moscow Univ... Gillespie, Absolute continuous functions of two variables and well- bounde[r] ... See full document

... equation with n–variables, since the function f(x) = ax is its solution. The stability problem for the generalized additive functional equation with n–variables was proved by Khodaei and ... See full document

... The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation o[r] ... See full document

... Inventory management by Nenes et al. (2010) has been recognized as one of the most important functions of industrial and commercial enterprises. Goyal (1985) developed an economic order quantity (EOQ) model under ... See full document

... obtain several interesting reduction formulae for Lauricella functions from a multiple hypergeometric series identity established earlier by Jaimini et ...of generalized Kummer’s second summation ... See full document

... is additive and n-multiplicative, then by the hypothesis there exists a ∈ A such that φ(a) = ...define additive function ψ : A → R by ψ(x) = φ(ax) for all x ∈ ...is additive and multiplicative so it ... See full document

... quantitative variables, namely, vitamin concentration in the pre-packaging dip and the levels of two gases in the packing atmosphere, on several binary responses including the presence or absence of liquid ... See full document

... Now a question may arise about relative order (relative lower order) of f with respect to another entire function g when relative order (relative lower oreder) of f and g with respect to another entire function h are ... See full document

... This paper investigates integral inequalities for discontinuous functions with two independent variables involving two nonlinear terms. We do not require that ω (u) is in the class ℘ or the class j in Gallo ... See full document